Let P(x) be the Lagrange interpolating polynomial of 1 f(x) == 2x² + 2 at the points x, = 0; x, = 1 and x, = 3. If P(x) is used to approximate f(x), then an approximation of f'(2) is most nearly: - 0.083 - 0.667 O - 0.100 - 0.076

Let P(x) be the Lagrange interpolating polynomial of 1 f(x) == 2x² + 2 at the points x, = 0; x, = 1 and x, = 3. If P(x) is used to approximate f(x), then an approximation of f'(2) is most nearly: - 0.083 - 0.667 O - 0.100 - 0.076

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra

Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...

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Question

Let P(x) be the Lagrange interpolating polynomial of
1
f(x) =
2x² + 2
at the points x, = 0; x, = 1 and x, = 3. If P(x) is used to approximate f (x), then an
approximation of f'(2) is most nearly:
- 0.083
- 0.667
O - 0.100
O - 0.076

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